On the abc spectra radius of unicyclic graphs

WebON THE ABC SPECTRAL RADIUS OF CACTUS GRAPHS ZHIBINDU ANDBO ZHOU∗ Abstract. Let G be a graph with vertex set V(G). Denote by d u the degree of vertex u in … Web9 de mai. de 2024 · The arithmetic-geometric matrix Aag(G) of a graph G is a square matrix, where the (i, j)-entry is equal to di +d j 2 √ did j if the vertices vi and v j are adjacent, and …

Arithmetic-Geometric Spectral Radius of Trees and Unicyclic Graphs

Web1 de nov. de 2024 · [1] Feng L and Yu G 2009 The Signless Laplacian Spectral Radius of Unicyclic Graphs with Graph Constraints Kyungpook Math. J. 49 123-31 Crossref; Google Scholar [2] Yu G, Wu Y and Shu J 2011 Signless Laplacian spectral radii of graphs with given chromatic number Linear Algebra Appl. 435 1813-22 Crossref; Google Scholar [3] … WebIn the article, we consider the problem of characterization of connected graphs having exactly three distinct Laplacian ABC-eigenvalues. We solve this problem for bipartite graphs, multipartite graphs, unicyclic graphs, regular graphs and prove the non-existence of such graphs with diameter greater than 2. signs of fgm eyfs https://plumsebastian.com

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WebThe ABC matrix of a graph G is a square matrix, where the (i,j)-entry ABCij=di+dj−2didj if there is an edge between vertices i and j in G, and ABCij=0 otherwise. The ABC spectral radius of G, denoted by ν1(G), is the largest eigenvalue of the ABC matrix of G.In this paper, we prove that for a unicyclic graph G of order n≥4, 2=ν1(Cn)≤ν1(G)≤ν1(Sn+e), … Web10 de mai. de 2024 · In this section, we study the AG spectral radius of unicyclic graphs. ... On the ABC spectra radius of unicyclic graphs. Linear Algebra. Appl., 596:71–81, … Web17 de jun. de 2024 · On the spectral radius of unicyclic and bicyclic graphs with a fixed diameter. F.F. Wang, H.Y. Shan, Y.Y. Zhai. The -spectral radius of a connected graph … therapeutic hypothermia equipment

The Aα-spectral radius of complements of bicyclic and tricyclic graphs ...

Category:Spectra of unicyclic graphs SpringerLink

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On the abc spectra radius of unicyclic graphs

Spectra of unicyclic graphs SpringerLink

WebThe spectral radius of unicyclic graphs has been studied by many authors (see [4,8,10,15,17]). Chang and Tian [4] determined graphs of the largest and the second largest spectral radius among all the unicyclic graphs on n vertices with perfect matching. Web1 de ago. de 2024 · ABC spectral radius. ABC energy. 1. Introduction. Let G = ( V, E) be a simple graph with n vertices, m edges, whose adjacency matrix is A ( G). For v ∈ V, the …

On the abc spectra radius of unicyclic graphs

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WebThe A α-spectral radius of trees and unicyclic graphs with given degree sequence. Authors: Dan Li. College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang, PR China. ... H.Q. Lin, J. Xue, J.L. Shu, On the D α-spectra of graphs, Linear Multilinear Algebra. 10.1080/03081087.2024.1618236. Google Scholar

WebSpectral Radius of Graphs provides a thorough overview of important results on the spectral radius of adjacency matrix of graphs that have appeared in the literature in the preceding ten years, most of them with proofs, and including some previously unpublished results of the author. WebAbstract. Recently, the extremal problem of the spectral radius in the class of complements of trees, unicyclic graphs, bicyclic graphs and tricyclic graphs had been studied widely. In this paper, we extend the largest ordering of Aα -spectral radius among all complements of bicyclic and tricyclic graphs with n vertices, respectively.

WebThe investigation on the spectral radius of graphs is an important topic in the theory of graph spectra, in which some early results can go back to the very beginnings ... “On the spectral radius of unicyclic graphs with perfect matchings,” Linear Algebra and Its Applications, vol. 370, pp. 237–250, 2003. Web9 de mai. de 2024 · Zheng et al. [26] gave the follo wing upper bound for the AG spectral radius of graphs with order n ≥ 2 and size m . Lemma 2.7 [26] Let G be a graph of …

Web1 de abr. de 2024 · Download Citation On Apr 1, 2024, Yinzhen Mei and others published Extreme Sombor Spectral Radius of Unicyclic Graphs Find, read and cite all the …

Web6 de abr. de 2024 · Furthermore, we determine that the greedy unicyclic graph has the largest Aα-spectral radius in GD when D is a unicyclic graphic sequence, where … therapeutic hub suttonWeb1 de mar. de 2024 · Request PDF On the ABC spectra radius of unicyclic graphs The ABC matrix of a graph G is a square matrix, where the (i,j)-entry ABCij=di+dj−2didj if … signs officeWebON THE ABC SPECTRAL RADIUS OF CACTUS GRAPHS ZHIBINDU ANDBO ZHOU∗ Abstract. Let G be a graph with vertex set V(G). Denote by d u the degree of vertex u in G. The ABC matrix of G, proposed by Estrada, is the matrix (ABC uv) u,v∈V(G),whereABC uv = du+dv−2 dudv if u and v are adjacent, and 0 otherwise. The ABC spectral radius of G … signs office depothttp://files.ele-math.com/abstracts/oam-17-05-abs.pdf therapeutic hsvWebA unicyclic graph is a simple connected graph in which the number of edges is equal to the number of vertices. In this paper, firstly, we give the Aα-characteristic polynomial of the coalescent graph, and Aα-eigenvalues of the star graph for the application. therapeutic humorWebAbstract. Recently, the extremal problem of the spectral radius in the class of complements of trees, unicyclic graphs, bicyclic graphs and tricyclic graphs had been studied … signs of fever without thermometerWeb15 de abr. de 2024 · The research about ABC spectral radius (largest eigenvalue of ABC matrix) of graphs is rather active in recent years. In this paper, we characterize the … therapeutic humor programs